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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 413 · 40 questions
TalentJR

How to think it through (30h − 5.5m): Minute hand angle (from 12) = minutes × 6. Hour hand angle = hours × 30 + minutes × 0.5. Angle between them = the difference; if it is more than 180°, take it away from 360°.

NameDateTime takenScore ___ / 40
  1. 1.A clock shows 10:54. What time will it show 150 minutes later? (a) 2:24 (b) 1:24 (c) 1:14 (d) 1:34
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
  3. 3.A clock shows 1:36. What time will it show 123 minutes later? (a) 3:39 (b) 4:39 (c) 3:49 (d) 3:29
  4. 4.What is the smaller angle between the hour hand and the minute hand at 6:43? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:56? (in degrees) =
  6. 6.A clock shows 2:46. What time will it show 97 minutes later? (a) 4:33 (b) 4:13 (c) 5:23 (d) 4:23
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 38 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
  10. 10.A clock shows 9:53. What time will it show 56 minutes later? (a) 11:49 (b) 10:59 (c) 10:39 (d) 10:49
  11. 11.How many degrees does the minute hand of a clock turn in 43 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 148 minutes? =
  13. 13.A clock shows 1:58. What time will it show 74 minutes later? (a) 3:22 (b) 4:12 (c) 3:02 (d) 3:12
  14. 14.How many degrees does the hour hand of a clock turn in 22 minutes? =
  15. 15.A clock shows 1:27. What time will it show 33 minutes later? (a) 1:50 (b) 2:10 (c) 2:00 (d) 3:00
  16. 16.How many degrees does the minute hand of a clock turn in 44 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 141 minutes? =
  18. 18.A clock shows 6:39. What time will it show 140 minutes later? (a) 8:59 (b) 9:59 (c) 8:49 (d) 9:09
  19. 19.What is the smaller angle between the hour hand and the minute hand at 9:06? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 12 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 53 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:15? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 52 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 11:16? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 167 minutes? =
  28. 28.A clock shows 4:21. What time will it show 21 minutes later? (a) 4:32 (b) 4:42 (c) 4:52 (d) 5:42
  29. 29.What is the smaller angle between the hour hand and the minute hand at 12:49? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 2:35? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:28? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 9:27? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 26 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 6:31? (in degrees) =
  35. 35.A clock shows 1:27. What time will it show 92 minutes later? (a) 3:59 (b) 2:59 (c) 2:49 (d) 3:09
  36. 36.A clock shows 4:18. What time will it show 48 minutes later? (a) 4:56 (b) 6:06 (c) 5:06 (d) 5:16
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:45? (in degrees) =
  38. 38.A clock shows 4:31. What time will it show 125 minutes later? (a) 7:36 (b) 6:46 (c) 6:26 (d) 6:36
  39. 39.A clock shows 12:12. What time will it show 31 minutes later? (a) 12:53 (b) 1:43 (c) 12:43 (d) 12:33
  40. 40.How many degrees does the minute hand of a clock turn in 27 minutes? =

Answer key

  1. 1:24
  2. 159
  3. 3:39
  4. 56.5
  5. 22
  6. 4:23
  7. 25
  8. 228
  9. 139
  10. 10:49
  11. 258
  12. 74
  13. 3:12
  14. 11
  15. 2:00
  16. 264
  17. 70.5
  18. 8:59
  19. 123
  20. 72
  21. 318
  22. 52.5
  23. 27
  24. 120.5
  25. 312
  26. 118
  27. 83.5
  28. 4:42
  29. 90.5
  30. 132.5
  31. 124
  32. 121.5
  33. 13
  34. 9.5
  35. 2:59
  36. 5:06
  37. 127.5
  38. 6:36
  39. 12:43
  40. 162

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